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Finding the Fourth Proportional to 421,189.52, 632,079.48 and 243,452

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Solution

The fourth proportional to 421,189.52, 632,079.48 and 243,452 is: 365,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,189.52 : 632,079.48 = 243,452 : x
  2. Step 2: Convert to fraction form
    421,189.52/632,079.48 = 243,452/x
  3. Step 3: Cross multiply
    421,189.52x = 632,079.48 × 243,452
  4. Step 4: Simplify right side
    421,189.52x = 153,881,013,564.96
  5. Step 5: Solve for x
    x = 153,881,013,564.96/421,189.52
  6. Step 6: Final answer
    x = 365,348.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.